ON COMPONENTWISE and VECTOR STOCHASTIC INTEGRATION
We give a condition under which the componentwise stochastic integration with respect to a given R-super-"d"-valued continuous local martingale coincides with the more general vector stochastic integration defined by Jacod (1979). We then provide a result on the equivalence between the vector and the component completeness of a financial market in a special case. Copyright 1994 Blackwell Publishers.